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Finding the Third Proportional to 289,319 and 444,974

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Solution

The third proportional to 289,319 and 444,974 is: 684,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,319 : 444,974 = 444,974 : x
  2. Step 2: Convert to fraction form
    289,319/444,974 = 444,974/x
  3. Step 3: Cross multiply
    289,319x = 444,974 × 444,974
  4. Step 4: Simplify right side
    289,319x = 198,001,860,676
  5. Step 5: Solve for x
    x = 198,001,860,676/289,319
  6. Step 6: Final answer
    x = 684,372.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.